Zeroes of Sine and Cosine
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Theorem
Let $x \in \R$.
Zeroes of Cosine
- $\cos x = 0$ if and only if $x = \paren {n + \dfrac 1 2} \pi$ for some $n \in \Z$.
Zeroes of Sine
- $\sin x = 0$, if and only if $x = n \pi$ for some $n \in \Z$.